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Unformatted text preview: Due: Thursday, November 15, 2007 06:00 PM EST Current Score: 24 out of 30 Question Score Submission Options Description Homework 10 deals with sampling distribution models for sample proportions and sample means. It also covers the central limit theorem. Instructions Homework #10 You are allowed 4 submissions except for the true/false questions, for which you are allowed 1 submission. Due date is 6:00 PM Thursday, Nov. 15. 1. 4/4 points Last Response | Show Details All Responses Notes In 2004 the federal Department of Education reported that, nationally, the proportion of college freshmen that returned to the same school for their sophomore year was 0.74. Suppose we select a random sample of 400 freshmen from across the nation. Question 1 . What is the expected value of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year? 0.74 .74 Question 2 . What is the standard deviation of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year? 0.022 .022 (Round to 3 decimal places) Question 3 . What is the probability that the proportion of these 400 freshmen that return to the same school for their sophomore year is less than 0.70? 0.0344 .0345 (Round to 4 decimal places) 2. 0/2 points Last Response | Show Details All Responses Notes Just before a city referendum on a school budget, a local newspaper polls 400 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of 52% of the voters. Question . What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum? 0.184 .212 (calculate the standard deviation to 3 decimal places, round your final answer to 3 decimal places). 3. 3/3 points Last Response | Show Details All Responses Notes Carbon monoxide (CO) emissions for a certain kind of car have a distribution with expected value = 2.9 grams/mile and standard deviation = 0.4 grams/mile. A company has 80 of these cars in its fleet. Let denote the mean CO emission level for the company's fleet....
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